Atkin-Lehner |
2+ 3- 7- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84546v |
Isogeny class |
Conductor |
84546 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-28225255576928256 = -1 · 215 · 39 · 72 · 114 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 11+ -4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21231,7989597] |
[a1,a2,a3,a4,a6] |
Generators |
[483:11193:1] |
Generators of the group modulo torsion |
j |
1451764018705391/38717771710464 |
j-invariant |
L |
5.2556785874993 |
L(r)(E,1)/r! |
Ω |
0.28091373812949 |
Real period |
R |
1.1693266177829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28182y1 |
Quadratic twists by: -3 |